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Proceedings Paper

Magic of the prolate spheroidal functions in various setups
Author(s): F. Alberto Grunbaum; L. Miranian
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Paper Abstract

The singular functions for the problem of recovering a time limited function from its Fourier transform in a certain band of frequencies are given, in the simplest case, by the prolate spheroidal wave functions. We explore a number of issues related to this problem including the effective computation of the corresponding Slepian functions for a polar cap on the surface of the Earth. The same method would work for a region on the sphere bounded by two parallels.

Paper Details

Date Published: 5 December 2001
PDF: 12 pages
Proc. SPIE 4478, Wavelets: Applications in Signal and Image Processing IX, (5 December 2001); doi: 10.1117/12.449698
Show Author Affiliations
F. Alberto Grunbaum, Univ. of California/Berkeley (United States)
L. Miranian, Univ. of California/Berkeley (United States)


Published in SPIE Proceedings Vol. 4478:
Wavelets: Applications in Signal and Image Processing IX
Andrew F. Laine; Michael A. Unser; Akram Aldroubi, Editor(s)

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